Higher order sliding mode prediction based discrete-time variable structure control for nonlinear uncertain systems

2011 ◽  
Author(s):  
Lingfei Xiao ◽  
Yue Zhu
Keyword(s):  
Discrete Time ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Higher Order ◽  
Time Variable ◽  
Structure Control ◽  
Nonlinear Uncertain Systems

scholarly journals Discrete time reaching law based variable structure control for fast reaching with reduced chattering

2020 ◽  
Vol 9 (1) ◽  
pp. 51
Author(s):  
Pournami Padmalatha ◽  
Susy Thomas
Keyword(s):  
Discrete Time ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
The Other ◽  
Control Law ◽  
Sliding Surface ◽  
Structure Control ◽  
Reaching Law ◽  
Speed Up

In this paper, a variable structure control law is proposed for discrete time sliding mode control so as to reduce both reaching time and quasi sliding mode band reduction. This new law is composed of two different sliding variable dynamics; one to achieve fast reaching and the other to counter its effect on widening the quasi sliding mode band. This is accomplished<br />by introducing a boundary layer around the sliding surface about which the transformation of the sliding variable dynamics takes place. This provides the flexibility to choose the initial dynamics in such a way as to speed up the reaching phase and then at the boundary transform this dynamics to one that reduces the quasi sliding mode band. Thus, the law effectively<br />coalesces the advantageous traits of hitherto proposed reaching laws that succeed in either the reduction of reaching phase or the elimination of quasi sliding mode band. The effectiveness of the proposed reaching law is validated through simulations.<br /><br />

Sliding Mode Variable Structure Control Design for a Kind of Nonlinear Discrete Singular Uncertain Systems with Time-Delay

2011 ◽  
Vol 383-390 ◽  
pp. 5803-5809 ◽  
Author(s):  
Yong Xu Wang ◽  
Cai Hong Zhang ◽  
Cun Che Gao
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Singular Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control ◽  
Discrete Singular Systems ◽  
Interval Coefficients ◽  
Sliding Mode Variable Structure

In this paper, the quasi-sliding mode variable structure control problem for interval coefficients nonlinear discrete singular uncertain systems with time-delay is researched, and it can be decomposed to two lower dimension systems with ordinary coefficients. According to some results on robust stability of discrete singular systems with time-delay, the quasi-switching manifold with difference compensator are designed, then with the quasi-sliding mode variable structure control law, the system comes to stability. At last, the feasibility and effectiveness of the results are explained by a numerical example.

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